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Finding the Fourth Proportional to 8,282.49, 12,373.36 and 5,923.77

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Solution

The fourth proportional to 8,282.49, 12,373.36 and 5,923.77 is: 8,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.49 : 12,373.36 = 5,923.77 : x
  2. Step 2: Convert to fraction form
    8,282.49/12,373.36 = 5,923.77/x
  3. Step 3: Cross multiply
    8,282.49x = 12,373.36 × 5,923.77
  4. Step 4: Simplify right side
    8,282.49x = 73,296,847.28
  5. Step 5: Solve for x
    x = 73,296,847.28/8,282.49
  6. Step 6: Final answer
    x = 8,849.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.